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Nonlinear Oligopolies

Stability and Bifurcations

The Classical Cournot Model.- Concave Oligopolies.- General Oligopolies.- Modified and Extended Oligopolies.- Oligopolies with Misspecified and Uncertain Price Functions, and Learning.- Overview and Directions for Future Research.

Routledge Revivals

Trends, Problems, and Prospects for Integration

Stock Markets of the Arab World

New Frontiers in Regional Science: Asian Perspectives

This book integrates value balance, material balance and energy balance into the interaction model of socioeconomic activities and the environment, providing a comprehensive environmental policy and technology evaluation method accessible for planners and decision makers who must determine the most effective environmental remediation technologies and policies. It provides the intellectual groundwork indispensable for understanding the importance of taking the three balances into account when the optimal set of technologies and policies is decided. It offers, as well, an ecological institutional framework for sustainable development and construction of a low-carbon society. The topics addressed in this book include, inter alia, social versus private value balances and the necessity of environmental policies in motion; the need for evaluation of environmental impacts on all environmental media based on material balance; the necessity of differentiation between fossil versus non-fossil energy sources based on energy balance and improvement of the trade-off between economic development and conservation of the environment with adoption of advanced environmental remediation technologies and policies. These topics are illustrated by applying a comprehensive evaluation method to urgent environmental issues such as sustainable development compatible with the Intergovernmental Panel on Climate Change (IPCC) scenario in developing countries, the ecological institutional framework after COP3, an inclusive watershed management focusing on sustainable development, wide-ranging waste management and construction of a circular-oriented society. The book is highly recommended to readers who seek a comprehensive policy evaluation method for environmental remediation technologies adaptable to complex issues.

Comprehensive Evaluation of Environmental Management Policies and Technologies

The authors analyze the present status of personal income gap from its root. In the book, the authors give a clear classification of different personal income groups and how to adjust each group income, under the basis of society equity theory.

The authors analyze the present status of personal income gap from its root. In the book, the authors give a clear classification of different personal  income groups and how to adjust each group income, under the basis of society equity theory.

Study on Adjustment of Personal Income Gap for Promoting Social Equity

“Distinguished by its comprehensive and illuminating exploration of spatial competition models, this work extends beyond standard frameworks to showcase a remarkable range of variations rarely found together in this literature. Expertly balancing theoretical rigor with compelling real-world applications across diverse domains, it stands out as the definitive resource for researchers, students, and practitioners interested in spatial competition.” – Yiquan Gu, Professor of Spatial Economics and Industrial Organisation, Henley Business School, University of Reading
&nbsp;
This textbook provides an accessible introduction to spatial competition models in economics. It shows students how to understand and apply spatial models to analysis of market design, structure, competition and pricing.
The book aims to provide a step-by-step guide to learning and implementing spatial modelling. It provides a concise history of the spatial approach and a self-contained primer chapter on the key game theory tools required to undertake spatial analysis. It then provides a comprehensive explanation of the key traditions and models, including the Hotelling model and related Salop circle model, and demonstrates their various applications to consumer, firm and market interactions. Topics covered in the book include: product differentiation, the physical location of firms, spatial price discrimination, oligopolistic competition, non-uniform distributions of consumers, political competition and the basic Downs model, and the application of spatial models to marketing and management. This book will be a valuable resource for undergraduate students in microeconomics and applied economics, particularly on industrial organization courses.
&lt;&nbsp;
Stefano Colombo is Professor of Economics at Università Cattolica del Sacro Cuore, Milan, Italy. He has published widely in spatial economics, price competition, game theory, regional economics, and microeconomic theory. He edited a two-volume collection with Palgrave on cutting edge research in spatial economics in 2020.

An Introduction to Key Competition Models

Spatial Economic Modelling

The primary objective of this book is to address a formal representation of household economy in welfare economics in spatial terms. Although it has been argued since the nineteenth century that in exploring a reasonable indicator to measure the real welfare level of households, several difficulties remain to be faced in economic theory. The most relevant method in this specific topic is social welfare function. While various types of indicators were historically developed and improved as a replacement of existing economic growth indicators such as GDP and GRP using social welfare function, there still is a problem with evaluating the individual's utility as an aggregate term. As an alternative method of measuring the real welfare level of households, location theory may be a possibility for solving some potentially problematic issues. To be precise, location theory requires the inclusion of notions of transportation costs, spatially constrained internal and external economies, and other distance-related variables. From the standpoint of equality, this specific approach enables an analysis to investigate spatial differentiation. In other words, spatial differentiation of households can be interpreted as spatial consumer exclusion. Hence, the real welfare level of households can be measured by means of the accessibility of goods and services, of which there are several types, such as essential and luxury ones. As a result, spatial distribution of goods and services depending on their types can be considered a component of social welfare function. The topics addressed in the book include social welfare function in spatial terms, location theory related to firms and households, attractiveness of regions, economic and social infrastructure elements, and sustainable growth and development of regions.

The primary objective of this book is to address a formal representation of household economy in welfare economics in spatial terms. Although it has been argued since the nineteenth century that in exploring a reasonable indicator to measure the real welfare level of households, several difficulties remain to be faced in economic theory. The most relevant method in this specific topic is social welfare function. While various types of indicators were historically developed and improved as a replacement of existing economic growth indicators such as GDP and GRP using social welfare function, there still is a problem with evaluating the individual’s utility as an aggregate term. As an alternative method of measuring the real welfare level of households, location theory may be a possibility for solving some potentially problematic issues. To be precise, location theory requires the inclusion of notions of transportation costs, spatially constrained internal and external economies, and other distance-related variables. From the standpoint of equality, this specific approach enables an analysis to investigate spatial differentiation. In other words, spatial differentiation of households can be interpreted as spatial consumer exclusion. Hence, the real welfare level of households can be measured by means of the accessibility of goods and services, of which there are several types, such as essential and luxury ones. As a result, spatial distribution of goods and services depending on their types can be considered a component of social welfare function. The topics addressed in the book include social welfare function in spatial terms, location theory related to firms and households, attractiveness of regions, economic and social infrastructure elements, and sustainable growth and development of regions.&nbsp;

As a Measure of Social Welfare Function

Attractiveness of Regions and Sustainable Regional Economic System

SpringerBriefs in Statistics

JSS Research Series in Statistics

This book presents modern techniques for the analysis of Markov chain Monte Carlo (MCMC) methods. A central focus is the study of the number of iteration of MCMC and the relation to some indices, such as the number of observation, or the number of dimension of the parameter space. The approach in this book is based on the theory of convergence of probability measures for two kinds of randomness: observation randomness and simulation randomness. This method provides in particular the optimal bounds for the random walk Metropolis algorithm and useful asymptotic information on the data augmentation algorithm. Applications are given to the Bayesian mixture model, the cumulative probit model, and to some other categorical models. This approach yields new subjects, such as the degeneracy problem and optimal rate problem of MCMC. Containing asymptotic results of MCMC under a Bayesian statistical point of view, this volume will be useful to practical and theoretical researchers and to graduate students in the field of statistical computing.

This book presents modern techniques for the analysis of Markov chain Monte Carlo (MCMC) methods. A central focus is the study of the number of iteration of MCMC and the relation to some indices, such as the number of observation, or the number of dimension of the parameter space. The approach in this book is based on the theory of convergence of probability measures for two kinds of randomness: observation randomness and simulation randomness. This method provides in particular the optimal bounds for the random walk Metropolis algorithm and useful asymptotic information on the data augmentation algorithm. Applications are given to the Bayesian mixture model, the cumulative probit model, and to some other categorical models. This approach yields new subjects, such as the degeneracy problem and optimal rate problem of MCMC. Containing asymptotic results of MCMC under a Bayesian statistical point of view, this volume will be useful to practical and theoretical researchers and to graduatestudents in the field of statistical computing.

Stability of Markov Chain Monte Carlo Methods

Palgrave Classics in Economics

This classic and highly influential book provides unique insight into ideas of competition and the theory of the firm. First published in 1933, it builds upon the work of Alfred Marshall and Arthur Cecil Pigou and highlights both the real world application and limitations of economics, with a particular emphasis on the risk of providing misleading information to individuals. By setting out ways in which economic practices and tools can be refined, the importance of stating assumptions and finding suitable answers is highlighted. Broader topics, including monopoly equilibrium, the supply curve, price discrimination, marginal net productivity, and monopsony, are also discussed.This book is an important milestone in the history of economics and the development of key economic concepts. It will be relevant to students, researchers, and general readers interested in economic theory and microeconomics.&nbsp;Includes a new foreword from John Eatwell.&nbsp;Joan Robinson
 (1903-1983) was one of the defining economists of the 20th century. She made wide-ranging contributions to economic theory and was a key figure within post-Keynesian economics.

The Economics of Imperfect Competition

Economic Perspectives on Institutions provides an introduction to the economic analysis of institutions, particularly with respect to the core issues of conflict, coordination and inequality, offering an essential synthesis of what we have learnt so far and highlighting the major gaps to be filled. Readers are introduced to some of the best ideas produced in the field of institutional economics and are provided with a critical assessment both of their ability to explain a number of crucial problems and to offer a guide to the choice of the best policies. This book will be essential reading to all those studying and researching in the field of institutional economics.

Economic and social institutions are more and more important in modern economic systems. Efficiency, equity and also economic evolution depend on them. Indeed, since the pioneering analyses of Coase, North and Williamson huge progress has been made in the understanding of the influence of institutions on the working of economic systems. However, institutions are still a rather disregarded topic both in the analysis of economic phenomena and in the design of economic policies. This book offers a critical assessment of the results achieved so far by the various strands of Institutional Economics that paves the way for further improvements.Economic Perspectives on Institutions provides an introduction to the economic analysis of institutions, particularly with respect to the core issues of conflict, coordination and inequality, offering an essential synthesis of what we have learnt so far and highlighting the major gaps to be filled. Readers are introduced to some of the best ideas produced in the field of institutional economics and are provided with a critical assessment both of their ability to explain a number of crucial problems and to offer a guide to the choice of the best policies. This book will be essential reading to all those studying and researching in the field of institutional economics.

Conflict, Coordination, Inequality

Economic Perspectives on Institutions

Lecture Notes in Physics

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.&nbsp; 
The book highlights Feynman's parametrization as a central tool for studying Feynman integrals, starting with the traditional momentum representation. Schwinger and Lee-Pomeransky parametrizations are covered in a supplementary chapter. Readers will develop a clear understanding of the mathematical properties and practical applications of these techniques, with a particular emphasis on Feynman’s approach. Advanced topics such as integration-by-parts identities and intersection number theory are explored in the final chapter, offering readers a gateway to key mathematical structures. 
The prerequisites are minimal—only a basic familiarity with algebra and calculus is recommended. The content begins with introductory concepts and gradually progresses to more advanced material, ensuring a balanced learning curve. Practical examples throughout the book reinforce the main ideas, allowing readers to apply what they’ve learned and deepen their understanding as they move through the material. 
&nbsp;

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.&nbsp; 
The book highlights Feynman's parametrization as a central tool for studying Feynman integrals, starting with the traditional momentum representation. Schwinger and Lee-Pomeransky parametrizations are covered in a supplementary chapter. Readers will develop a clear understanding of the mathematical properties and practical applications of these techniques, with a particular emphasis on Feynman’s approach. Advanced topics such as integration-by-parts identities and intersection number theory are explored in the final chapter, offering readers a gateway to key mathematical structures. 
The prerequisites are minimal—only a basic familiarity with algebra and calculus is recommended. The content begins with introductory concepts and gradually progresses to more advanced material, ensuring a balanced learning curve. Practical examples throughout the book reinforce the main ideas, allowing readers to apply what they’ve learned and deepen their understanding as they move through the material.

Insights into Feynman Diagrams

Lectures on Graph Theory

SpringerBriefs in Physics

&nbsp;This book presents a previously unpublished theory for predicting the quantitative behavior of a class of dynamical systems when brought into contact with a source of mechanical energy, when both the system and the source are complex. Complex refers to a virtually unbounded number of quantitative parameters being needed for a complete description, the precise values of which are inherently unknowable. The complexity precludes the use of a complete and completely accurate prediction model, necessitating the construction of an effective theory, a mathematical framework for estimating less than complete system behavior while accommodating less than all underlying physical processes. Predicting less, the effective theory does not require&nbsp; a complete system description, but rather only the values of a limited number of global measures, these to be determined by a process of normalizing the theory. &nbsp; In the text, the dynamical system is identified as a meta-mass comprising a grounded housing element containing a large multiplicity of oscillators, and the theory describes the non-Newtonian behavior of the basic element for a virtually inexhaustible class of non-classical mechanical and mechanical/electrical systems. The non-Newtonian behavior of primary interest is an enhanced energetics, referring to the energy transfer between the meta-mass housing element and an external source. Internal energy transfer between the meta-mass housing element and the encapsulated oscillators is the occasion of changes in the external energy transfer, which has no counterpart in Newtonian mechanics. This makes the effective theory essential for designing mechanical and mechanical/electrical devices that exploit the enhanced energetics. Dynamical system complexity brings to the fore mechanical energy source complexity, which otherwise can be ignored. This book presents a tailoring of the effective theory in the face of mechanical energy source complexity, as an alternative toan explicitly energy formulation. &nbsp;

This book presents a previously unpublished theory for predicting the quantitative behavior of a class of dynamical systems when brought into contact with a source of mechanical energy, when both the system and the source are complex. Complex refers to a virtually unbounded number of quantitative parameters being needed for a complete description, the precise values of which are inherently unknowable. The complexity precludes the use of a complete and completely accurate prediction model, necessitating the construction of an effective theory, a mathematical framework for estimating less than complete system behavior while accommodating less than all underlying physical processes. Predicting less, the effective theory does not require&nbsp; a complete system description, but rather only the values of a limited number of global measures, these to be determined by a process of normalizing the theory.In the text, the dynamical system is identified as a meta-mass comprising a groundedhousing element containing a large multiplicity of oscillators and the theory describes the non-Newtonian behavior of the basic element for a virtually inexhaustible class of non-classical mechanical and mechanical/electrical systems. The non-Newtonian behavior of primary interest is an enhanced energetics, referring to the energy transfer between the meta-mass housing element and an external source. Internal energy transfer between the meta-mass housing element and the encapsulated oscillators is the occasion of changes in the external energy transfer, which has no counterpart in Newtonian mechanics. This makes the effective theory essential for designing mechanical and mechanical/electrical devices that exploit the enhanced energetics. Dynamical system complexity brings to the fore mechanical energy source complexity, which otherwise can be ignored. This book presents a tailoring of the effective theory in the face of mechanical energy source complexity, as an alternative to an explicitly energy formulation.

Response of Complex Dynamical Systems to Complex Mechanical Energy Sources

<div>Dieser Band zeigt grundlegende makroökonomische Mechanismen auf, indem gesamtökonomische Wirkungsketten aufgezeigt und analysiert werden.&nbsp;Dabei werden&nbsp;Einflussfaktoren unterschiedlicher makroökonomischer (aggregierter) Variablen wie Output, Arbeitslosigkeit, Inflation, Produktivität sowie den damit verbundenen Messproblemen identifiziert. Die Leser entwickeln so ein&nbsp;Verständnis der Zusammenhänge zwischen Geldmarkt und Gütermarkt sowie deren Einfluss auf die Wirtschaftspolitik über die Zeit. Sie werden in die Lage versetzt, die&nbsp;Konsequenzen einfacher makroökonomischer Politikmaßnahmen bei unterschiedlichen Bedingungen zu bewerten.&nbsp;Diese Inhalte werden sowohl in deutscher als auch in englischer Sprache vermittelt. Der zweisprachige Lehrbuchansatz ist vor allem&nbsp;für Bachelorstudenten in internationalen Studiengängen sehr wichtig.</div>

Dieser Band zeigt grundlegende makroökonomische Mechanismen auf, indem gesamtökonomische Wirkungsketten aufgezeigt und analysiert werden.&nbsp;Dabei werden&nbsp;Einflussfaktoren unterschiedlicher makroökonomischer (aggregierter) Variablen wie Output, Arbeitslosigkeit, Inflation, Produktivität sowie den damit verbundenen Messproblemen identifiziert. Die Leser entwickeln so ein&nbsp;Verständnis der Zusammenhänge zwischen Geldmarkt und Gütermarkt sowie deren Einfluss auf die Wirtschaftspolitik über die Zeit. Sie werden in die Lage versetzt, die&nbsp;Konsequenzen einfacher makroökonomischer Politikmaßnahmen bei unterschiedlichen Bedingungen zu bewerten.&nbsp;Diese Inhalte werden sowohl in deutscher als auch in englischer Sprache vermittelt. Der zweisprachige Lehrbuchansatz ist vor allem&nbsp;für Bachelorstudenten in internationalen Studiengängen sehr wichtig.

Macroeconomics

Makroökonomik

Nonlinear Oligopolies

Bibliografische Angaben

Inhaltsverzeichnis

Schlagworte

Bibliografische Angaben

Inhaltsverzeichnis

Schlagworte

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